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Lesson 23: Surface Area - Welcome to EngageNY

NYS COMMON CORE MATHEMATICS CURRICULUM 7 6 Lesson 23 Lesson 23: Surface area This work is derived from Eureka Math and licensed by Great Minds. 2015 Great Minds. This file derived from This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 23: Surface area Classwork Opening Exercise Calculate the Surface area of the square pyramid. Example 1 a. Calculate the Surface area of the rectangular prism. NYS COMMON CORE MATHEMATICS CURRICULUM 7 6 Lesson 23 Lesson 23: Surface area This work is derived from Eureka Math and licensed by Great Minds. 2015 Great Minds. This file derived from This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. b. Imagine that a piece of the rectangular prism is removed. Determine the Surface area of both pieces. c. How is the Surface area in part (a) related to the Surface area in part (b)?

To determine the surface area of right prism s that are composite figures or missing sections, determine the area of each lateral face and the two base faces, and then add the areas of all the faces together.

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Transcription of Lesson 23: Surface Area - Welcome to EngageNY

1 NYS COMMON CORE MATHEMATICS CURRICULUM 7 6 Lesson 23 Lesson 23: Surface area This work is derived from Eureka Math and licensed by Great Minds. 2015 Great Minds. This file derived from This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Lesson 23: Surface area Classwork Opening Exercise Calculate the Surface area of the square pyramid. Example 1 a. Calculate the Surface area of the rectangular prism. NYS COMMON CORE MATHEMATICS CURRICULUM 7 6 Lesson 23 Lesson 23: Surface area This work is derived from Eureka Math and licensed by Great Minds. 2015 Great Minds. This file derived from This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. b. Imagine that a piece of the rectangular prism is removed. Determine the Surface area of both pieces. c. How is the Surface area in part (a) related to the Surface area in part (b)?

2 NYS COMMON CORE MATHEMATICS CURRICULUM 7 6 Lesson 23 Lesson 23: Surface area This work is derived from Eureka Math and licensed by Great Minds. 2015 Great Minds. This file derived from This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Exercises Determine the Surface area of the right prisms. 1. 2. NYS COMMON CORE MATHEMATICS CURRICULUM 7 6 Lesson 23 Lesson 23: Surface area This work is derived from Eureka Math and licensed by Great Minds. 2015 Great Minds. This file derived from This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. 3. 4. NYS COMMON CORE MATHEMATICS CURRICULUM 7 6 Lesson 23 Lesson 23: Surface area This work is derived from Eureka Math and licensed by Great Minds. 2015 Great Minds. This file derived from This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License.

3 5. NYS COMMON CORE MATHEMATICS CURRICULUM 7 6 Lesson 23 Lesson 23: Surface area This work is derived from Eureka Math and licensed by Great Minds. 2015 Great Minds. This file derived from This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike Unported License. Problem Set Determine the Surface area of the figures. 1. 2. 3. 4. 5. Lesson Summary To determine the Surface area of right prisms that are composite figures or missing sections, determine the area of each lateral face and the two base faces, and then add the areas of all the faces together.


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